From arpeggios to permutations ("shuffling")
A useful follow-up after arpeggios is the permutation exercise.
You play/sing the three notes of the triad in all possible orders. While doing this you are "forced" to treat the triad as one "object.
If you master this, you perceive the triad from whatever note you start (just as you can recognize an object even if it's turned upside-down or toppled).
This is the pattern you can use for all 4 triads:
(Also here without key and accidentals)
An example with clef and accidentals for a major, diminished, minor and augmented triad:
major
diminished
minor
augmented